SOLUTION: 3|2x + 5| =9x -6 I just want to know how to solve. In detail and examples please show me!

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Question 914555: 3|2x + 5| =9x -6 I just want to know how to solve. In detail and examples please show me!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Isolate the absolute value; in this case, simply multiplying left and right sides of equation by 1%2F3.

Examine two cases separately. Solve for 2x%2B5%3E=0, and solve for 2x%2B5%3C0. Think logically about each of these cases about the signs of each step and decision.



Just to help with understanding,
Draw a number line and check how this works:
If x%3E=0, then abs%28x%29=x.
If x%3C0, then abs%28x%29=-x.
Also, if x%3E=0, then abs%28-x%29=x.